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463500630 = 23551910039
BaseRepresentation
bin11011101000000…
…111010101010110
31012022011021100000
4123220013111112
51422124010010
6113554232130
714325455535
oct3350072526
91168137300
10463500630
112186a797a
1210b285646
1375045a38
14457b431c
152aa587c0
hex1ba07556

463500630 has 96 divisors (see below), whose sum is σ = 1315641600. Its totient is φ = 117083232.

The previous prime is 463500619. The next prime is 463500659. The reversal of 463500630 is 36005364.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 463500594 and 463500603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41151 + ... + 51189.

It is an arithmetic number, because the mean of its divisors is an integer number (13704600).

Almost surely, 2463500630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 463500630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657820800).

463500630 is an abundant number, since it is smaller than the sum of its proper divisors (852140970).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

463500630 is a wasteful number, since it uses less digits than its factorization.

463500630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10080 (or 10068 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 463500630 is about 21529.0647729993. The cubic root of 463500630 is about 773.8974985950.

Adding to 463500630 its reverse (36005364), we get a palindrome (499505994).

The spelling of 463500630 in words is "four hundred sixty-three million, five hundred thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 81 90 95 114 135 162 171 190 243 270 285 342 405 486 513 570 810 855 1026 1215 1539 1710 2430 2565 3078 4617 5130 7695 9234 10039 15390 20078 23085 30117 46170 50195 60234 90351 100390 150585 180702 190741 271053 301170 381482 451755 542106 572223 813159 903510 953705 1144446 1355265 1626318 1716669 1907410 2439477 2710530 2861115 3433338 4065795 4878954 5150007 5722230 8131590 8583345 10300014 12197385 15450021 17166690 24394770 25750035 30900042 46350063 51500070 77250105 92700126 154500210 231750315 463500630